Within the broad range of geometric representation theory the Connections Workshop will focus on three research topics in which we expect particularly striking new developments within the next few years:
* Categorical and geometric structures in representation theory and Lie superalgebras
* Geometric construction of representations via Shimura varieties and related moduli spaces
* Hall algebras and representations
The workshop will bring together researchers from these different topics within geometric representation theory and will thus facilitate a successful start of the semester program. It will give junior researchers from each of these parts of geometric representation theory a broader picture of possible applications and of new developments, and will establish a closer contact between junior and senior researchers.
This workshop is aimed at encouraging and increasing the active participation of women and members of under-represented groups in the MSRI program.
All are welcome to participate in the scientific portions of the workshop and the panel discussion, regardless of gender.
Bibliography (PDF)

Within the broad range of geometric representation theory the Connections Workshop will focus on three research topics in which we expect particularly striking new developments within the next few years:
* Categorical and geometric structures in representation theory and Lie superalgebras
* Geometric construction of representations via Shimura varieties and related moduli spaces
* Hall algebras and representations

The workshop will bring together researchers from these different topics within geometric representation theory and will thus facilitate a successful start of the semester program. It will give junior researchers from each of these parts of geometric representation theory a broader picture of possible applications and of new developments, and will establish a closer contact between junior and senior researchers.

This workshop is aimed at encouraging and increasing the active participation of women and members of under-represented groups in the MSRI program.

All are welcome to participate in the scientific portions of the workshop and the panel discussion, regardless of gender.

To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

MSRI has preferred rates at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate. If you are making your reservations on line, please go to this link and enter the promo/corporate code MSRI123. Our preferred rate is $129 per night for a Deluxe Queen/King, based on availability.

MSRI has preferred rates of $149 - $189 plus tax at the Hotel Shattuck Plaza, depending on room availability. Guests can either call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Inst. discount; or go to www.hotelshattuckplaza.com and click Book Now. Once on the reservation page, click “Promo/Corporate Code“ and input the code: msri.

After brief introduction to algebraic supergroups, we concentrate on the example of the general linear supergroup GL(m|n).

We discuss in detail blocks in the category of finite-dimensional representations of GL(m|n) and the Kazhdan-Lusztig theory and calculate the multiplicities of standard modules in indecomposable projective modules using categorification approach due to Brundan and weight diagrams of Brundan and Stroppel.

Then we talk about flag supermanifolds, Borel-Weil-Bott theory and support variety. If time permits I explain how these geometric methods are used to prove the Kac-Wakimoto conjecture about superdimension of an irreducible representation of GL(m|n).

The central object in geometric representation theory is a representation constructed from a variety, generally through a construction (like cohomology) that turns geometry into a vector space. In the first talk, we describe the seminal example of Springer representations, including their geometry and combinatorics. In the second, we move to other examples. Throughout both talks we highlight themes and tools that recur across different geometric representations, as well as open questions (big and small).

After brief introduction to algebraic supergroups, we concentrate on the example of the general linear supergroup GL(m|n).

We discuss in detail blocks in the category of finite-dimensional representations of GL(m|n) and the Kazhdan-Lusztig theory and calculate the multiplicities of standard modules in indecomposable projective modules using categorification approach due to Brundan and weight diagrams of Brundan and Stroppel.

Then we talk about flag supermanifolds, Borel-Weil-Bott theory and support variety. If time permits I explain how these geometric methods are used to prove the Kac-Wakimoto conjecture about superdimension of an irreducible representation of GL(m|n).

The central object in geometric representation theory is a representation constructed from a variety, generally through a construction (like cohomology) that turns geometry into a vector space. In the first talk, we describe the seminal example of Springer representations, including their geometry and combinatorics. In the second, we move to other examples. Throughout both talks we highlight themes and tools that recur across different geometric representations, as well as open questions (big and small).

In this talk, we will introduce p-divisible groups and their moduli spaces. We will discuss about the connected components of the special fiber and also the tower on the generic fiber of these moduli spaces for unramified groups. Part of this talk is based on a joint work with Mark Kisin and Eva Viehmann.